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Local harmonic approximation for multidimentional density matrix

✍ Scribed by V.S. Jorish; V.Yu. Zitserman


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
279 KB
Volume
41
Category
Article
ISSN
0009-2614

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✦ Synopsis


A method is established for the approximate calcuiation of the density matrix for a system of interacting anharmonic osciUators. An approximate analytical expression is obtained for the density matrix of a two-dimensional isotropic %nharmonk osciIIator. As an example the calculations for a two-dimensional quartic oscillator are demonstrated.


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It is shown that the local thermodynamic description of the ground state of a many-electron system, earlier proposed by Ghosh, Berkowitz and Parr, is equivalent to a well defined approximation for the density matrix and therefore for the Wigner's distribution.